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Finding the Fourth Proportional to 30,506.20, 45,836.10 and 19,418.20

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Solution

The fourth proportional to 30,506.20, 45,836.10 and 19,418.20 is: 29,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.20 : 45,836.10 = 19,418.20 : x
  2. Step 2: Convert to fraction form
    30,506.20/45,836.10 = 19,418.20/x
  3. Step 3: Cross multiply
    30,506.20x = 45,836.10 × 19,418.20
  4. Step 4: Simplify right side
    30,506.20x = 890,054,557.02
  5. Step 5: Solve for x
    x = 890,054,557.02/30,506.20
  6. Step 6: Final answer
    x = 29,176.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.